The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
The number of scoops of sugar needed is 10 scoops.Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]Which gives;
[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex][tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]
[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]
Therefore;
[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]
The number of scoops she needs for the entire recipe is 10 scoops
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if f(x)=4(3x-5), find f^-1(x)
Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
Which diagram is not a function please a need explanation
Answer:3
Step-by-step explanation:
It is because the letters in diagram A cannot go to 2 seperate numbers in diagram B
Which of the following tables represents a function?
X 6 6 7 7
y 2 -2 3-3
x 2-2 3-3
y 5 5 7 7
x 3 -3 3-3
y 6 7 8 9
X 4 4 5 5
y 1 2 3 4
Answer:
The second one:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain value or x can only have one range, y, so, with that said, the second one is the answer.
What is the value of -2
Answer:
11
Step-by-step explanation:
-2 lies in the second range that begins with -2 and ends with 8
Find the zeros of this polynomial:
p(x)= (x²+4x+3)(x²-4)
====================================================
Explanation:
Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.
Let's apply that idea to the first factor.
x^2+4x+3 = 0
(x+1)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -1 or x = -3 are two roots
-------------
Do the same for the other factor as well.
x^2 - 4 = 0
(x-2)(x+2) = 0 .... difference of squares rule
x-2 = 0 or x+2 = 0
x = 2 or x = -2 are another two roots
--------------
In total, the four roots are:
x = -3x = -2x = -1x = 2Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.
how to find the nth term
Answer:
Write full question
I cannot understand
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.
I need reassurance that my answer is right. Is this a rotation? :')
Answer:
Yes, it is a rotation!
Step-by-step explanation:
You know this because the shape rotated. It did not flip, change size, or remain the same.
I hope this helps!
what is the following product 3 sqrt 4 times sqrt 3
Answer:
c on edge YW
Step-by-step explanation:
The value of ∛4 × √3 is 2.75 or [tex]\sqrt[6]{432}[/tex].
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given;
Expression,
product 3 sqrt 4 times sqrt 3.
In numerator form:
As per the given expression,
∛4 × √3
Simplifying,
∛4 × √3
= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]
= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]
= [tex]\sqrt[6]{16 + 27}[/tex]
= [tex]\sqrt[6]{432}[/tex]
= 2.749
= 2.75
Therefore, the product is 2.75 or [tex]\sqrt[6]{432}[/tex].
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PLEASE PLEASE HELP IM TIMED!! Just look at the picture
Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue
The probability of picking a marble that is not blue is 5/6
The proportions of the balls are given as:
[tex]Red = \frac 12[/tex]
[tex]White = \frac 13[/tex]
[tex]Blue = 6[/tex]
The probability of picking a ball that is not blue is:
[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]
So, we have:
[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]
Rewrite the fractions as equivalent fractions
[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]
Take LCM
[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]
Add 3 and 2
[tex]P(Not\ Blue) = \frac {5}6[/tex]
Hence, the probability of picking a marble that is not blue is 5/6
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read what on the image then answer
Fraction 10/12 would be greater than 3/4
A student's bank account is represented in the table shown.
1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.
2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).
3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
4. Use the model to approximate how long it would take to have $50.00 in the account.
The desmos link is in the reply section below...
1.) y = 1.56x + 1.29
2.) the slope is 1.56
As the weeks are increasing, the student's balance is growing about 1.56 per week.
3.) y = 24.69
4.) 50 = 1.56x + 1.29
50 - 1.29 = 1.56x + 1.29 - 1.29
48.71 =1.56x
48.71 / 1.56
31.2
factor the expression 14x - 21 using the GCF
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?
Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
solving system by elimination
show your work
-3x - 5y = -7
-4x + 5y = 14
Answer:x=-1, y=2
Step-by-step explanation:
Summing these equations, we will obtain,
-7x =7
Therefore, x=-1
If we put x in the first equation,
(-3*-1)-5y=-7
3-5y=-7
-5y=-10
y=2
Answer:
x=-1, y=1
Step-by-step explanation:
-3x-5y=-7
-4x+5y=14
-7x=7
x=-1
-3x-5y=-7
-3(-1)-5y=-7
3-5y=-7
-5y=-10
y=2
x-2/7=8
Give your answer in improper fraction
Justin ate 9 out of the last 15 pretzels. What fraction of the pretzels was left ? Write the fraction in simplest form.
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Figure A is a scale image of figure B.
Pls help!!!
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school
Answer:
380
Step-by-step explanation:
285 / x = 75 / 100
Cross multiply 28500 = 75x
Divide by 75 380
A distance of 6.5 × 10−8 is multiplied by 10. The result is written in scientific notation. What is the new exponent?
Answer:
6.5 x 10^(-7)
Step-by-step explanation:
When multiplied by 10, it is like multiplying by 10^1. We can use the exponent rule: 10^(-8) * 10^1 = 10^(-7).
Example:
1.3 x 10^2 multiplied by 10
This is the same as 130 multiplied by 10 which is equal to 1300.
1300 written in scientific notation is 1.3 x 10^3, which adds one more onto the exponent.
will give brainliest
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
The area of the triangle below is 5.52 square feet.
What is the length of the base?
Answer:
4.6 ft
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Fill in the given values and solve for the base.
5.52 = 1/2b(2.4)
5.52/1.2 = b = 4.6 . . . . divide by the coefficient of b
The base is 4.6 feet.
What are ratio tables? Can you create 3 different ways to create a ratio table using your own exampl e? pls ik im asking alot of theese i dont wanna fail
Answer:
A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.
Step-by-step explanation:
i have linked 1 picture of a ratio table example
hope this helped
pls quick plsssssssss
Answer:
[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]
Foster needs to divide a plot of land covering 538 acres into plots covering 34 acre each. How many whole plots can he make?
Given that the total amount of land in acres is 538
The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres
Mathematically we have
538/34 = 15.823
But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15
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The three solids below have the same height. The cross-sections of the parallel planes have equal areas,
Which solid has the greatest volume?
It should be noted that all the solids have the same volume.
What is volume?Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. It should be noted that the definition of length is interrelated with volume.
Here, the three solids below have the same height. The cross-sections of the parallel planes have equal areas. They all have same volume.
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Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x 0. 3 0. 9 1. 0 1. 5.
Using exponential functions, it is found that a = 1.5 would cause the function to stretch.
The exponential function given is:
[tex]y = \left(\frac{1}{3}\right)^x[/tex]
If it is multiplied by a such that |a| < 1, it is compressed.If it is multiplied by a such that |a| > 1, it is stretched.Hence, a = 1.5 would cause the function to stretch.
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Answer:
1.5 is the value of a in the exponential function below would cause the function to stretch
Convert ratio to fraction simplified. 25:45
A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.